Name
Title | ||
|---|---|---|
Optimization-Based modeling with applications to transport: part 3. computational studies |
Abstract | ||
|---|---|---|
This paper is the final of three related articles that develop and demonstrate a new optimization-based framework for computational modeling. The framework uses optimization and control ideas to assemble and decompose multiphysics operators and to preserve their fundamental physical properties in the discretization process. One application of the framework is in the formulation of robust algorithms for optimization-based transport (OBT). Based on the theoretical foundations established in Part 1 and the optimization algorithm for the solution of the remap subproblem, derived in Part 2, this paper focuses on the application of OBT to a set of benchmark transport problems. Numerical comparisons with two other transport schemes based on incremental remapping, featuring flux-corrected remap and the linear reconstruction with van Leer limiting, respectively, demonstrate that OBT is a competitive transport algorithm. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/978-3-642-29843-1_8 | LSSC |
Keywords | Field | DocType |
remap subproblem,competitive transport algorithm,optimization algorithm,flux-corrected remap,benchmark transport problem,computational modeling,new optimization-based framework,robust algorithm,optimization-based modeling,optimization-based transport,computational study,transport scheme | Discretization,Mathematical optimization,Multiphysics,Computer science,Optimization algorithm,Operator (computer programming),Limiting | Conference |
Citations | PageRank | References |
3 | 0.61 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Denis Ridzal | 1 | 75 | 9.99 |
| Joseph Young | 2 | 14 | 2.46 |
| Pavel Bochev | 3 | 14 | 3.75 |
| Kara Peterson | 4 | 16 | 4.78 |